Factor Completely

(X-1) ^3 (2x-3) - (2x+1) (x-1) ^2

Foil (x-1) (x-1) (x-1) gives you x^3-3x^2+3x+1

(x^3-3x^2+3x+1) (3X-3) foil

gives you 2x^4-9x^3+15x^2+11x-3

for the other side

(x-1) (x-1) = x^2-2x+1

(2x+1) (x^2-2x+1) = 2x^3-3x^2+1

(2x^4-9x^3+15x^2+11x-3) - (2x^3-3x^2+1)

=2x^4-11x^3+18x^2+11x-4